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Finding the Fourth Proportional to 9,752.79, 14,624.01 and 3,178.20

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Solution

The fourth proportional to 9,752.79, 14,624.01 and 3,178.20 is: 4,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.79 : 14,624.01 = 3,178.20 : x
  2. Step 2: Convert to fraction form
    9,752.79/14,624.01 = 3,178.20/x
  3. Step 3: Cross multiply
    9,752.79x = 14,624.01 × 3,178.20
  4. Step 4: Simplify right side
    9,752.79x = 46,478,028.58
  5. Step 5: Solve for x
    x = 46,478,028.58/9,752.79
  6. Step 6: Final answer
    x = 4,765.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.